The probability that a point falls in the red-shaded square is given as follows:
p = 9/16.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
The probability that a point falls in the red shared square is then given by the division of the area of the red shaded square by the division of the area of the larger square.
The area of the red-shaded square is given as follows:
3² = 9.
The area of the larger square is given as follows:
4² = 16.
Hence the probability is given as follows:
p = 9/16.
More can be learned about probability at https://brainly.com/question/24756209
#SPJ1
Someone please help me fast! here is screenshot algebra. QUICK PLSSS
Answer:
[tex]\displaystyle{f(x)=3^x-5}[/tex]
Step-by-step explanation:
Being translated up-down means that the value exists outside of x. Therefore, we can cancel B and C choice since those are horizontal (left-right) translation.
Our only choice is A and D. However, D is being translated up since it's +5. Thus, the only correct answer that a function is being translated down is:
[tex]\displaystyle{f(x)=3^x-5}[/tex]
or A choice.
what is the probability of rolling two dice and the first dice landed on a five and the second dice landed on a number greater than or equal to 4
The value of probability is, 1/9
Now, For the first die, the probability that the number is less than 3 is,
⇒ 2/6
⇒ 1/3
because there are only 2 numbers (1 and 2) which are less than 3.
And, For the second die, the probability that the number is greater than 4 is,
⇒ 1/3 for only the numbers 5 and 6 satisfy the condition.
Hence, To obtain the total probability, multiply the two probabilities because of the conjunction "and".
⇒ 1/3 × 1/3
⇒ 1/9
Thus, the answer is 1/9.
Learn more about the probability visit:
https://brainly.com/question/13604758
#SPJ1
Museums offer programs, such as Friday night gatherings or hand-on art activities, to draw the public into the museum in hopes of
enticing them to visit frequently.
true or false
Answer:
False
Step-by-step explanation:
That's Maths? False though
Mast 1 broadcasts radio signals that can be heard within a radius of 15 km.
Mast 2 broadcasts radio signals that can be heard within a radius of 20 km.
Use ruler and compasses to work
out in which region radio signals can
be heard from both masts.
1 cm represents 10 km
The answer is region
Mast 1
71%
Mast 2
The intersection points are approximately (2.6, 1.29) and (2.6, -1.29).
How to explain the pointThe region where radio signals can be heard from both masts is the intersection of the two circles. We can find the intersection points by solving the system of equations:
(x - 1)² + y² = 1.5²
(x - 5)² + y² = 2²
Expanding the equations and subtracting them, we get:
10x - 26 = 0
So, x = 2.6. Substituting into either equation, we get:
y = ±✓(1.5² - (2.6 - 1)²) = ±1.29
The intersection points are approximately (2.6, 1.29) and (2.6, -1.29).
Learn more about intersection on
https://brainly.com/question/10428039
#SPJ1
Hoku is buying uniform shirts for her employees. She pays the shirt company the following prices:
• A one-time fee of $880 for the shirt design and the first 50 shirts
• $12 per shirt for every shirt over 50 shirts
To determine the cost of shirts, y, for any number of shirts, x, over 50, she wrote the equation y = 12(x - 50) + p.
What is the value of p in her equation?
Enter the value of p in the response box.
P =
It is given that Hoku is paying the shirt company $880 for shirt design and the first 50 Shirts. So, the fixed price will be $880 for 50 shirts.
Now, for over & above 50 shirts the cost is $12 per shirt.
Now, adding both the amounts to get the total cost of uniform shirts for company. So, the equation for total cost for buying more than 50 uniform shirts becomes y = 12(x-50)+880.
Comparing the above equation with the given equation, the value of p comes out to be 880.
#SPJ1
write an equation if the area of the square is
[tex]9cm ^{2} [/tex]
area of a square =
[tex]l {}^{2} \\ = l \times l \\ = 3cm \times 3cm \\ = 9cm {}^{2} \\ [/tex]
hope it helps
what is the volume of this rectangular prism
Answer:
[tex] \frac{3}{5} \times \frac{4}{3} \times 3 = \frac{3}{5} \times 4 = \frac{12}{5} = 2 \frac{2}{5} [/tex]
The volume of this rectangular prism is
2 2/5 cm^3.
HELPPPPPPPPPSOZLSLALALLZ
Among the given options, the measure that cannot be the length of the third side of the triangle is 12 cm. The correct option is C 12 cm.
What is the length?Determining the length that cannot not be the measure of the third side of the triangle
From the question, we are to determine the length that cannot be the measure of the third side of the triangle
From the given information, Two sides of the triangle are 7 cm and 4 cm From one of the properties of a triangle, we know that the length of a side of triangle is greater than the difference of the two other sides and it is less than the sum of the two other sides.
Let the length of the third side of the triangle be x.
Therefore,
x < 7 cm + 4 cm
x < 11 cm and
x > 7 cm - 4 cm
x > 3 cm
Hence, the measure that cannot be the length of the third side is 12 cm.
Learn more on Length here:
https://brainly.com/question/2217700
#SPJ1
A store has two types of animal feed available. Type A contains 5 pounds of oats and 7 pounds of corn per bag. Type B contains 6 pounds of oats and 4 pound
of corn per bag. A farmer buys both types and combines them so that the resulting mixture has at least 150 pounds of oats and at least 140 pounds of corn.
The store only has 20 bags of type A feed and 25 bags of type B feed in stock. Let x be the number of type A bags purchased. Let y be the number of type B
bags purchased. Shade the region corresponding to all values of x and y that satisfy these requirements.
PO
B
X
Ś
Save For Later
© 2023 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center
Submit As
The region that satisfy the requirements in this situation is added as an attachment
Identifying the region that satisfy the requirements in this situationFrom the question, we have the following parameters that can be used in our computation:
Type A
5 pounds of oats and 7 pounds of corn per bag.
Type B
6 pounds of oats and 4 pounds of corn per bag
This means that
Oats = 5x + 6y
Corn = 7x + 4y
Using the resulting mixtures, we have
5x + 6y ≥ 150
7x + 4y ≥ 140
For the bags available, we have
0 ≤ x ≤ 20 and 0 ≤ y ≤ 25
See attachment
Read more about inequality at
https://brainly.com/question/25275758
#SPJ1
Multiple choice answer
The shapes of the cross sections formed by the vertical plane that divides the solid into two congruent shapes is a composite figure with two triangles and rectangles
Given data ,
Let the shapes of the cross sections formed by the vertical plane that divides the solid into two congruent shapes be A and B
Now , on dividing the solid , we get
Two triangles on the opposite sides of the figure
And , rectangles on each adjacent sides of the figure
Hence , the congruent shape has 2 rectangles and 2 triangles
To learn more about perimeter of rectangle click :
https://brainly.com/question/15725265
#SPJ1
Zaid holds up a bag of coins.
The bag contains only 5p and 20p coins.
The ratio of 5p to 20p coins is 2:1
Zaid says
"If all the 5p coins became 20p coins and all the 20p coins became 5p coins
the total value of the coins in the bag would increase by £6."
Work out how many coins are in the bag.
the number of 5p = 2x
and the number of 20p = x
the total value = y
(2x)*(.05) + (x)*(.20)= y .......eqa1
if all 5p became 20p
20p = 2x
5p = x
(x)*(.05) + (2x)*(.20)= y+6 ..... eqa2
subtract the equations
eq2 - eq 1
======================
0.05x + 0.4x =y+6
-
0.1x + 0.2x = y
======================
0.45x= y+6
-
0.3x =y
= 0.15x = 6
x = 40
so number of 5p = 80 coins
and number of 20p = 40 coins
what 2 values can f have if f² is 16
Answer:
4 and -4
Step-by-step explanation:
4²=16
-4²=1
The two values that f could be if f² is 16 are +4 and -4 because both the positive and negative square roots are considered in solving the equation f² = 16.
Explanation:The solution to the equation f² = 16 is found by taking the square root of both sides. However, when we take the square root in solving an equation, we need to consider both the positive and negative roots. The square root of 16 is +4 and -4. These are the two possible solutions for f in the equation f² = 16.
Learn more about Square Root here:https://brainly.com/question/1540542
#SPJ2
The total number of hours each student spends volunteering in their
community is shown in the stem-and-leaf plot.
Hours Volunteered
Stem Leaf
1012479
2122578
303336
4 112
Which statement is supported by the data in the stem-and-leaf plot?
OA. The number of students who volunteered more than 30 hours is
greater than the number of students who volunteered fewer than
30 hours.
The most common number of hours volunteered is 22.
Option B is the correct answer.
We have,
A.
The number of students who volunteered more than 30 hours is greater than the number of students who volunteered fewer than 30 hours.
This can not be determined from the given stem-and-leaf plot as it only shows the frequency distribution of hours volunteered without any specific count of students.
The plot only indicates that there are some students who volunteered between 31-36 hours (stem 3, leaves 33, and 36) and one student who volunteered for 44 hours (stem 4, leaf 4).
Therefore, option A is not supported by the given data.
B.
The most common number of hours volunteered is 22.
From the stem-and-leaf plot, we can see that the mode is 22 as it has the highest frequency (stem 2, leaves 2, 5, 7, 8).
Hence, option B is supported by the given data.
C.
The number of students who volunteered between 9 and 20 hours is greater than the number of students who volunteered more than 40 hours.
This statement cannot be confirmed by the given stem-and-leaf plot as there are no leaves in stem 1, which means there are no students who volunteered less than 10 hours. Also, there are no leaves in stem 4, except for one leaf with a value of 44.
Therefore, we can not determine how many students volunteered between 9-20 hours and more than 40 hours. Hence, option C is not supported by the given data.
D.
The most common number of hours volunteered is 41.
There are no leaves in stem 4 except for the value of 44, which means there is no student who volunteered for 41 hours.
Hence, option D is not supported by the given data.
Therefore,
The most common number of hours volunteered is 22.
Learn more about stem and leaf here:
https://brainly.com/question/12857419
#SPJ1
Assume that the math ACT scores for a high school with 240 students have a mean of 23 and a standard deviation of 6.1. According to the central limit theorem, what is the standard deviation of the sample mean?
The sample mean to deviate from the population mean by approximately 0.394 points.
According to the central limit theorem, the standard deviation of the sample mean can be calculated by dividing the population standard deviation (in this case, 6.1) by the square root of the sample size (in this case, 240). This means that the standard deviation of the sample mean for this high school would be:
standard deviation of sample mean = population standard deviation / square root of sample size
= 6.1 / √(240)
≈ 0.394
To know more about standard deviation here
https://brainly.com/question/16555520
#SPJ1
3.2 Provide an example to explain the difference between conceptual knowledge and procedural knowledge. (4)
Understanding the underlying ideas or concepts that govern a certain subject is known as conceptual knowledge.
It is understanding of the "big picture" and how various facts relate to one another. Contrarily, procedural knowledge describes the capacity to implement a series of processes or actions in order to accomplish a particular objective or address a challenge. It is the ability to "do" something.
For instance, making a cake takes both procedural knowledge—such as knowing how each ingredient fits into the recipe—and conceptual knowledge—such as knowing how to combine the ingredients in the right order and gauge the cake's doneness.
Both kinds of knowledge are necessary for success in any task or field.
Learn more about conceptual knowledge:
https://brainly.com/question/28187957
#SPJ1
A box contains 2 red marbles, 5 green marbles and 8 blue marbles. Find the probability of the different events.
P ( 3 blue ) =
P (blue & green)
The value of the probability of the different events are,
The value of the probability P (3) is,
⇒ 1 / 5
And, The value of the probability P (blue & green) is,
⇒ 8/45
We have to given that;
A box contains 2 red marbles, 5 green marbles and 8 blue marbles.
Hence, Total marbles = 2 + 5 + 8 = 15
So, The value of the probability P (3) is,
⇒ 3 / 15
⇒ 1 / 5
And, The value of the probability P (blue & green) is,
⇒ 8/15 x 5/15
⇒ 8/15 x 1/3
⇒ 8 / 45
Thus, The value of the probability P (3) is,
⇒ 1 / 5
And, The value of the probability P (blue & green) is,
⇒ 8/45
Learn more about the probability visit:
https://brainly.com/question/13604758
#SPJ1
At a certain college, the mean math ACT score is a 21.8 with a standard deviation of 4.9. Assume that these scores have a normal distribution, what is the 30th percentile of math ACT scores at this college?
A math ACT score of 19.55 or lower corresponds to the 30th percentile of scores at this college.
To do this, we can use a standard normal distribution table or a calculator with a normal distribution function. The standard normal distribution is a special case of the normal distribution with a mean of 0 and a standard deviation of 1.
By using a table or calculator, we can find the z-score that corresponds to the 30th percentile. The z-score represents the number of standard deviations away from the mean that a certain point is. Once we have the z-score, we can use it to find the actual math ACT score by using the formula:
actual score = mean + (z-score)(standard deviation)
If we use a standard normal distribution table, we can find that the z-score corresponding to the 30th percentile is -0.52. Therefore, the math ACT score that corresponds to the 30th percentile at this college is:
actual score = 21.8 + (-0.52)(4.9) = 19.55
In other words, 30% of the scores are below 19.55, and 70% of the scores are above 19.55.
To know more about distribution here
https://brainly.com/question/29509087
#SPJ1
Pleaseeee help I’ll give brainliest!!! What is the measurement of each angle
At the toy store, 3 toy cars cost $2.46. How much does it cost to buy 25 toy cars?
Step-by-step explanation:
it says "college" in the headline of this question.
are you serious ?
this is an upper elementary or beginning of middle school problem.
if you have a problem with such a question in college, you really have a problem and would need intensive tutoring (you need to recover everything from the beginning of math).
in such problems, to find your way, always try to find the amount represented by 1 unit.
everything else can be then calculated in relation to that one unit.
3 cars cost $2.46
1 car costs therefore 1/3 of that :
2.46/3 = $0.82
and 25 cars cost then 25 times that of a single car :
0.82 × 25 = $20.50
in short, the direct approach is
$2.46 × 25/3 = $20.50
Use de moivre's theorem to write the complex number in standard form [sqrt(2)(cos(20degrees)+isin(20degrees))]
The complex number in standard form is 8(cos2π +isin 2π) by using DeMoivre's theorem
De Moivre's formula (also known as de Moivre's theorem and de Moivre's identity) states that for any real number x and integer n it holds that (cosx + i sinx)ⁿ= cosnx + i sinnx.
where i is the imaginary unit (i² = −1).
By DeMoivre's theorem:
√2(cos(20°)+isin(20°)]⁶
√2⁶(cos6( 60°) + isin6( 60°))
=8(cos6(60°) +isin 6(60°))
=8(cos6(π/3) +isin 6(π/3))
=8(cos2π +isin 2π)
Hence, the complex number in standard form is 8(cos2π +isin 2π) by using DeMoivre's theorem
To learn more on Complex Number click:
https://brainly.com/question/20566728
#SPJ1
Write the equation of the line that has slope 3 and passes through the point
(-2,5).
URGENT PLEASE HELP ME
The values of x in the absolute value function 5 - 9|4 - 8x| = -103 are (b) {-1, 2}
Calculating the value of x in the absolute value functionFrom the question, we have the following parameters that can be used in our computation:
5 - 9|4 - 8x| = -103
Subtract 5 from both sides of the equation
so, we have the following representation
- 9|4 - 8x| = -108
Divide both sides by -9
|4 - 8x| = 12
Remove the absolute bracket
Thisgives
4 - 8x = 12 or 4 - 8x = -12
So, we have
-8x = 8 or -8x = -16
Divide
x = -1 or x = 2
Hence, the values of x are (b) {-1, 2}
Read more about absolute value at
https://brainly.com/question/10538556
#SPJ1
Can u check my answer if its right
The correct option is c because the measure of the arc angle RE is 62° using the Angles of Intersecting Chords Theorem.
What is the Angles of Intersecting Chords Theorem
The Angles of Intersecting Chords Theorem states that the angle formed by the intersection of the chords is equal to half the sum of the intercepted arcs, and conversely, that the measure of an intercepted arc is half the sum of the two angles that intercept it.
66° = (RE + ST)/2
66° = (RE + 70)/2
RE + 70 = 2 × 66 {cross multiplication}
RE + 70 = 132
RE = 132 -70 {collect like terms}
RE = 62°
Therefore, the measures of the arc angle RE is 62° using the Angles of Intersecting Chords Theorem
Read more about chords here:https://brainly.com/question/13950364
#SPJ1
Listed below are the numbers of words spoken in a day by each member of eight different randomly selected couples. Complete parts (a) and (b) below. Male 15,102 26,839 1452 7847 18,978 14,872 14,276 26,644 Female 24,557 13,016 18,601 17,625 13,283 17,326 16,159 18,438 Identify the test statistic. t= (Round to two decimal places as needed.)
The value of the t-statistic is -0.51.
To identify the test statistic, we need to conduct a paired samples t-test using the data provided for the words spoken by males and females in eight different randomly selected couples.
The following formula can be used to get the test statistic:
Calculate the difference between the number of words spoken by the male and female members of each couple.
Male - Female:
-9,455, 13,823, -17,149, -8,778, 5,695, -2,454, -1,883, 8,206
Calculate the mean difference:
(Sum of differences) / (Number of differences) = (-9,455 + 13,823 - 17,149 - 8,778 + 5,695 - 2,454 - 1,883 + 8,206) / 8 = -1,995.5
Calculate the standard deviation of the differences:
s = sqrt((Σ(Male - Female - Mean)²) / (n - 1))
where Σ represents the sum from i = 1 to n, n is the number of differences (in this case, n = 8)
s = sqrt(((15102-24557-(-1995.5))² + (26839-13016-(-1995.5))² + ... + (26644-18438-(-1995.5))²) / (8-1))
s ≈ 11105.82
Determine the mean difference's standard error:
s/√n = 11105.82/√8 ≈ 3927.94
Calculate the t-statistic:
t = (Mean difference - Null hypothesis value) / (Mean difference standard error)
We do not have a null hypothesis value, but since we are testing if there is a significant difference between the mean number of words spoken by males and females, we can assume a null hypothesis value of 0.
t = -1995.5 / 3927.94 ≈ -0.508
Therefore, the test statistic is t = -0.51 (rounded to two decimal places).
To learn more about the standard deviation;
brainly.com/question/23907081
#SPJ1
If Sally invested $45,000 in an account that pays 11.9% interest, compounded continuously:
How much would be available after 10 years?
How much after 25 years?
How long will it take to double in value?
Answer: To solve this problem, we can use the formula for continuous compound interest:
A = Pe^(rt)
Step-by-step explanation:
A = Pe^(rt)
where A is the amount of money in the account after t years, P is the principal amount (initial investment), e is the mathematical constant (approximately 2.71828), r is the annual interest rate as a decimal, and t is the time in years.
For Sally's investment:
P = $45,000
r = 0.119 (11.9% as a decimal)
a) After 10 years:
t = 10
A = 45000e^(0.119 x 10) = $158,086.34
Therefore, after 10 years, Sally would have approximately $158,086.34 in the account.
b) After 25 years:
t = 25
A = 45000e^(0.119 x 25) = $989,988.27
Therefore, after 25 years, Sally would have approximately $989,988.27 in the account.
c) To find how long it takes to double in value:
We can use the formula:
2P = Pe^(rt)
Simplifying this equation:
2 = e^(rt)
ln(2) = rt
t = ln(2)/r
Using the values of P and r from above:
t = ln(2)/0.119 = 5.81 years (rounded to two decimal places)
Therefore, it would take approximately 5.81 years for Sally's investment to double in value.
K
J
L
5
M
Given that the rectangle above has a perimeter of 34 units, find mZKLJ. Round the answer to the nearest hundredth.
A. 8.46°
B. 22.62⁰
C. 24.62°
D. 65.38°
The measure of angle ZKLJ is approximately is 24.62°. Option C is right choice.
To find the measure of angle ZKLJ in the given rectangle:
Since a rectangle has opposite sides equal in length, we can divide the perimeter of 34 units by 4 to find the length of each side:
34 units / 4 = 8.5 units
Now, consider triangle ZKL. We know that ZK = 8.5 units and KL = 5 units.
Using the Pythagorean theorem, we can calculate the length of ZL:
[tex]ZL^2[/tex] = [tex]ZK^2 + KL^2[/tex]
[tex]ZL^2[/tex] = [tex](8.5 \:units)^2 + (5 \:units)^2[/tex]
[tex]ZL^2[/tex] = 72.25 + 25
[tex]ZL^2[/tex] = 97.25
ZL ≈ 9.86 units
Now, let's calculate the tangent of angle ZKL:
tan(ZKL) = KL / ZL
tan(ZKL) = 5 units / 9.86 units
tan(ZKL) ≈ 0.507
Using the inverse tangent (arctan) function, we can find the measure of angle ZKLJ:
ZKLJ ≈ arctan(0.507)
ZKLJ ≈ 27.46°
Therefore, rounding to the nearest hundredth, the measure of angle ZKLJ is approximately 27.46°.
The closest option to this answer is option C: 24.62°.
For such more questions on measure of angle
https://brainly.com/question/25716982
#SPJ11
Question-
Given that the rectangle above has a perimeter of 34 units, find mZKLJ. Round the answer to the nearest hundredth.
A. 8.46°
B. 22.62⁰
C. 24.62°
D. 65.38°
The value of y varies directly with x.
If y = 102 then x = 17
Solve for y when x = 13
k = 6
y = ?
Remember y = kx
The value of y at the value of x = 13 is,
⇒ y = 78
We have to given that;
The value of y varies directly with x.
And, at y = 102 then x = 17
Since, The value of y varies directly with x.
Hence, We get;
⇒ y = kx
at y = 102 then x = 17;
⇒ 102 = k × 17
⇒ k = 102 / 17
⇒ k = 6
Hence, Equation is,
⇒ y = 6x
Plug x = 13;
⇒ y = 6 × 13
⇒ y = 78
Thus, The value of y at the value of x = 13 is,
⇒ y = 78
Learn more about the proportion visit:
https://brainly.com/question/1496357
#SPJ1
Can someone please help me with this question
Answer:
( 4t + 15 ) / 20
Step-by-step explanation:
Let me show you the formula for this type of question,
[tex] \frac{a}{c} + \frac{b}{d} = \frac{ad + bc}{cd} [/tex]
So here for you,
[tex] \frac{t}{5} + \frac{3}{4} = \frac{ 4t+15 }{20} [/tex]
Luke is keeping track of the total number of hours he exercises. He started the summer having already put in 15 hours, and he then exercises 7 hours each week. The function to keep track of his exercise is f(x) = 7x + 15. What do the f(x) and x represent in Luke's situation? (2 points)
Group of answer choices
f(x) represents the total number of hours; x represents the number of weeks he exercises this summer
f(x) represents the total number of weeks that he has exercised; x represents the number of hours
f(x) represents the number of hours he exercises per day; x represents the number of weeks
f(x) represents the total number of hours that Luke has exercised; x represents the number of weeks he exercises per day
The function is solved and f(x) represents the total number of hours; x represents the number of weeks he exercises this summer
Given data ,
Luke is keeping track of the total number of hours he exercises. He started the summer having already put in 15 hours, and he then exercises 7 hours each week.
So , the function is given by
The function to keep track of his exercise is f(x) = 7x + 15
On simplifying the equation , we get
f(x) represents the total number of hours; x represents the number of weeks he exercises this summer
Hence , the function is f(x) = 7x + 15
To learn more about function rule click :
https://brainly.com/question/3760195
#SPJ1
44. Dana attends a 90-minute dance class one day each week. Last week, she practiced
the following dances during class.
30 minutes on ballet
40 minutes on tap
20 minutes on jazz
Which display of data is most appropriate to show how Dana spent her practice
time in dance class last week?
A line plot
B circle graph
C
line graph
D tally chart
Answer:
B circle graph
Step-by-step explanation:
circle graph or pie chart is the best representation since bar chart is not present